331144124402320 has 160 divisors (see below), whose sum is σ = 773312921100000. Its totient is φ = 131873840824320.

The previous prime is 331144124402291. The next prime is 331144124402327. The reversal of 331144124402320 is 23204421441133.

It can be written as a sum of positive squares in 16 ways, for example, as 9623793746176 + 321520330656144 = 3102224^2 + 17930988^2 .

It is a super-3 number, since 3×331144124402320³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (331144124402327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34319004856 + ... + 34319014504.

It is an arithmetic number, because the mean of its divisors is an integer number (4833205756875).

Almost surely, 2^{331144124402320} is an apocalyptic number.

It is an amenable number.

331144124402320 is an abundant number, since it is smaller than the sum of its proper divisors (442168796697680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331144124402320 is a wasteful number, since it uses less digits than its factorization.

331144124402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12101 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 331144124402320 its reverse (23204421441133), we get a palindrome (354348545843453).

The spelling of 331144124402320 in words is "three hundred thirty-one trillion, one hundred forty-four billion, one hundred twenty-four million, four hundred two thousand, three hundred twenty".